Probing the quantum metric of 3D topological insulators

Kavli Affiliate: Andrea D. Caviglia
| First 5 Authors: Giacomo Sala, Giacomo Sala, , ,

| Summary:
The surface states of 3D topological insulators possess geometric structures that imprint distinctive signatures on electronic transport. A prime example is the Berry curvature, which controls electric frequency doubling via a higher order moment, called Berry curvature triple. In addition to the Berry curvature, topological surface states are expected to exhibit a nontrivial quantum metric, which plays a key role in governing nonlinear magnetotransport. However, its manifestation has yet to be experimentally observed in 3D topological insulators. Here, we provide evidence for a nonlinear response activated by the quantum metric of the topological surface states of Sb$_2$Te$_3$. We measure a time-reversal odd, nonlinear magnetoresistance that is independent of temperature and disorder below 30 K and is thus of intrinsic geometrical origin. Our measurements demonstrate the existence of quantum geometry-induced transport in topological phases of matter and provide strategies for designing novel functionalities in topological devices.
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